{"id":127782,"date":"2026-05-26T14:47:28","date_gmt":"2026-05-26T13:47:28","guid":{"rendered":"https:\/\/antsroute.com\/?p=127782"},"modified":"2026-05-26T15:02:35","modified_gmt":"2026-05-26T14:02:35","slug":"dynamic-route-insertion","status":"publish","type":"post","link":"https:\/\/antsroute.com\/en\/solutions\/dynamic-route-insertion\/","title":{"rendered":"Why adding a single delivery can disrupt an entire route"},"content":{"rendered":"<div class=\"wpb-content-wrapper\">[vc_row css=&#8221;.vc_custom_1735829915094{margin-top: 50px !important;}&#8221;][vc_column width=&#8221;1\/12&#8243; el_class=&#8221;vc_hidden-xs Extra Small Screen vc_hidden-sm Small Screen&#8221;][\/vc_column][vc_column width=&#8221;10\/12&#8243;][vc_row_inner el_class=&#8221;vc_row-2&#8243;][vc_column_inner el_class=&#8221;vc_hidden-xs Extra Small Screen vc_hidden-sm Small Screen&#8221; width=&#8221;1\/12&#8243;][\/vc_column_inner][vc_column_inner width=&#8221;10\/12&#8243;][vc_column_text css=&#8221;.vc_custom_1779801045185{margin-top: 5px !important;}&#8221;]<a style=\"text-decoration: none; color: #1a1a1a; font-size: 18px; font-weight: 500;\" href=\"https:\/\/antsroute.com\/en\/blog\/\">Blog<\/a> &gt; <span style=\"color: #5d75e7; font-size: 18px; font-weight: 500;\">Route optimisation<\/span> &gt; <span style=\"color: #a7a7a7; font-size: 18px;\">Why adding a single delivery can disrupt an entire route<\/span>[\/vc_column_text][vc_column_text css=&#8221;&#8221;]\n<h1>Why adding a single delivery can disrupt an entire route<\/h1>\n[\/vc_column_text][vc_column_text]\n<p class=\"text-head\" style=\"color: #424762; font-size: 16px;\">Published on <span style=\"font-weight: 500;\">26 May 2026<\/span> <span class=\"span-reading-time rt-reading-time\"><span class=\"rt-label rt-prefix\"> \u2022 Reading time: <\/span> <span class=\"rt-time\"> 6<\/span> <span class=\"rt-label rt-postfix\">min read<\/span><\/span>\n[\/vc_column_text][vc_column_text css=&#8221;&#8221;]<img decoding=\"async\" class=\"aligncenter wp-image-127785\" style=\"border-radius: 5px;\" src=\"https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-1.webp\" alt=\"AntsRoute banner illustrating the impact of a new delivery on a route, featuring an optimisation map displaying a route itinerary, overlaid route information, and indicators related to constraint propagation, reduced time buffers, and increased schedule fragility.\" width=\"1600\" height=\"847\" srcset=\"https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-1.webp 1629w, https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-1-300x159.webp 300w, https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-1-1024x542.webp 1024w, https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-1-768x406.webp 768w, https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-1-1536x813.webp 1536w, https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-1-142x75.webp 142w, https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-1-700x370.webp 700w\" sizes=\"(max-width:767px) 700px, (max-width:1600px) 100vw, 1600px\" \/>[\/vc_column_text][\/vc_column_inner][vc_column_inner el_class=&#8221;vc_hidden-xs Extra Small Screen vc_hidden-sm Small Screen&#8221; width=&#8221;1\/12&#8243;][\/vc_column_inner][\/vc_row_inner][vc_row_inner el_class=&#8221;vc_row-2&#8243;][vc_column_inner el_class=&#8221;vc_hidden-xs Extra Small Screen vc_hidden-sm Small Screen&#8221; width=&#8221;2\/12&#8243;][\/vc_column_inner][vc_column_inner width=&#8221;8\/12&#8243;][vc_column_text css=&#8221;&#8221;]In dynamic route optimisation problems, the hardest insertions to manage are not necessarily the most expensive.<br \/>\nSome are immediately invalid:<\/p>\n<ul id=\"imglist\">\n<li>skill mismatch,<\/li>\n<li>capacity exceeded,<\/li>\n<li>time window violation,<\/li>\n<li>regulatory impossibility.<\/li>\n<\/ul>\n<p>These cases are relatively easy to rule out.<\/p>\n<p>The truly complex situations are often far more ambiguous.<br \/>\nA new task may appear perfectly coherent from a geographical perspective \u2014 minimal detour, close to other jobs, a natural fit within the route \u2014 while still significantly degrading the overall quality of the schedule once all constraints have been propagated.<br \/>\nThis is precisely the type of problem a real-time optimisation engine must solve in last-mile logistics.<\/p>\n<p>As <a href=\"https:\/\/www.linkedin.com\/in\/ammar-oulamara-5b837177\" target=\"_blank\" rel=\"noopener\"><u>Ammar Oulamara<\/u><\/a>, Head of R&amp;D at AntsRoute, explains:<\/p>\n<p class=\"summary-block\">\u201cA locally optimal insertion can produce a significant overall degradation of the schedule once all temporal and operational constraints are taken into account.\u201d<\/p>\n<p>This distinction between local optimisation and overall schedule stability lies at the heart of modern dynamic insertion problems.<\/p>\n<p>For a broader overview of route optimisation mechanisms in last-mile logistics, you can also read our <a href=\"https:\/\/antsroute.com\/en\/solutions\/route-optimisation-complexity\/\"><u>complete article on route optimisation<\/u><\/a>.<\/p>\n<p><strong>In this article, we will cover<\/strong>:<\/p>\n<ul id=\"imglist-3\">\n<li><a href=\"#the-insertion-problem-is-far-broader-than-it-may-initially-appear\"><u>Why dynamic insertions are far more complex than they appear<\/u><\/a><\/li>\n<li><a href=\"#why-marginal-cost-is-not-enough\"><u>The limitations of marginal cost when evaluating routes<\/u><\/a><\/li>\n<li><a href=\"#time-windows-create-strong-interdependencies\"><u>How time windows create strong interdependencies<\/u><\/a><\/li>\n<li><a href=\"#a-route-may-be-feasible-yet-extremely-fragile\"><u>Why a feasible route can quickly become highly fragile<\/u><\/a><\/li>\n<li><a href=\"#operational-constraints-further-amplify-these-ripple-effects\"><u>The impact of operational constraints on insertions<\/u><\/a><\/li>\n<li><a href=\"#why-the-optimisation-engine-must-locally-reorganise-the-schedule\"><u>How the optimisation engine locally reorganises the schedule<\/u><\/a><\/li>\n<li><a href=\"#not-all-insertions-deserve-the-same-level-of-exploration\"><u>Why not all insertions deserve the same level of exploration<\/u><\/a><\/li>\n<\/ul>\n<h2 id=\"the-insertion-problem-is-far-broader-than-it-may-initially-appear\"><span id=\"The_insertion_problem_is_far_broader_than_it_may_initially_appear\">The insertion problem is far broader than it may initially appear<\/span><\/h2>\n<p>Within an already built multi-day schedule, a new task \u03c4 does not have a single possible insertion point.<\/p>\n<p>The optimisation engine may potentially need to explore a decision space of the following form:<br \/>\n<strong>(day d) \u00d7 (route r\u1d62 \u2208 R_d) \u00d7 (position p within r\u1d62)<\/strong><\/p>\n<p>In other words:<\/p>\n<ul id=\"imglist\">\n<li>several candidate days,<\/li>\n<li>several routes per day,<\/li>\n<li>several possible positions within each route.<\/li>\n<\/ul>\n<p>And every candidate insertion affects distance-related costs, propagated schedules, waiting times, temporal slack, the feasibility of operational constraints, as well as the future ability to reorganise the schedule.<\/p>\n<p>The problem quickly becomes combinatorial.<\/p>\n<p>In real-world systems, the challenge is therefore not simply to find \u201can available slot\u201d, but to evaluate the overall quality of every candidate insertion.<\/p>\n<p><a href=\"https:\/\/calendly.com\/lea-brice-antsroute\/demonstration\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" class=\"aligncenter wp-image-126567 size-full\" style=\"border-radius: 5px;\" src=\"https:\/\/antsroute.com\/wp-content\/uploads\/antsroute-cta-book-demo.webp\" alt=\"Call-to-action banner for AntsRoute featuring route optimisation software, a delivery route map interface, and a \u201cBook a demo\u201d button highlighting reduced mileage and improved customer satisfaction.\" width=\"1600\" height=\"499\" srcset=\"https:\/\/antsroute.com\/wp-content\/uploads\/antsroute-cta-book-demo.webp 1600w, https:\/\/antsroute.com\/wp-content\/uploads\/antsroute-cta-book-demo-300x94.webp 300w, https:\/\/antsroute.com\/wp-content\/uploads\/antsroute-cta-book-demo-1024x319.webp 1024w, https:\/\/antsroute.com\/wp-content\/uploads\/antsroute-cta-book-demo-768x240.webp 768w, https:\/\/antsroute.com\/wp-content\/uploads\/antsroute-cta-book-demo-1536x479.webp 1536w, https:\/\/antsroute.com\/wp-content\/uploads\/antsroute-cta-book-demo-150x47.webp 150w, https:\/\/antsroute.com\/wp-content\/uploads\/antsroute-cta-book-demo-700x218.webp 700w\" sizes=\"(max-width:767px) 700px, (max-width:1600px) 100vw, 1600px\" \/><\/a><\/p>\n<h2 id=\"why-marginal-cost-is-not-enough\"><span id=\"Why_marginal_cost_is_not_enough\">Why marginal cost is not enough<\/span><\/h2>\n<p>Most insertion approaches naturally begin by measuring the marginal cost introduced into the route:<br \/>\n<strong>\u0394c = c(v\u209a\u208b\u2081, \u03c4) + c(\u03c4, v\u209a) \u2212 c(v\u209a\u208b\u2081, v\u209a)<\/strong><\/p>\n<p>This metric remains essential. It makes it possible to evaluate the <strong>additional geographical cost<\/strong> created by inserting a new task \u03c4 between two consecutive vertices in a route.<br \/>\nHowever, in highly constrained routes, this criterion quickly becomes insufficient.<\/p>\n<p>Let us take a simple example.<br \/>\nTwo insertions generate exactly the same marginal cost:<\/p>\n<ul id=\"imglist\">\n<li>the same increase in mileage,<\/li>\n<li>the same additional travel time.<\/li>\n<\/ul>\n<p>And yet, the first preserves substantial temporal slack across the remainder of the route, while the second concentrates several critical jobs within an already highly congested time window between 2 pm and 4 pm.<\/p>\n<p>Geographically, both insertions appear equivalent. Temporally, however, they are completely different.<br \/>\nThe second insertion makes the route far more sensitive:<\/p>\n<ul id=\"imglist\">\n<li>to traffic,<\/li>\n<li>to delays,<\/li>\n<li>to service time overruns,<\/li>\n<li>or to last-minute emergencies.<\/li>\n<\/ul>\n<p>In other words, local cost does not necessarily reflect the overall stability of the solution.<\/p>\n<h2 id=\"time-windows-create-strong-interdependencies\"><span id=\"Time_windows_create_strong_interdependencies\">Time windows create strong interdependencies<\/span><\/h2>\n<p>In a <strong>VRPTW<\/strong> (Vehicle Routing Problem with Time Windows), each task is linked to the previous ones through a <strong>chain of temporal dependencies<\/strong>.<br \/>\nThe arrival time at a stop implicitly depends on:<\/p>\n<ul id=\"imglist\">\n<li>previous travel times,<\/li>\n<li>service durations,<\/li>\n<li>potential waiting times,<\/li>\n<li>and delays accumulated earlier in the route.<\/li>\n<\/ul>\n<p>When a new task is inserted, the entire temporal structure must be recalculated.<br \/>\nIt is this <strong>propagation effect<\/strong> that makes dynamic insertions particularly sensitive.<br \/>\nA delay of just a few minutes in the middle of a route may be enough to:<\/p>\n<ul id=\"imglist\">\n<li>eliminate safety margins,<\/li>\n<li>shift a mandatory break,<\/li>\n<li>generate additional waiting times,<\/li>\n<li>or trigger multiple violations later in the day.<\/li>\n<\/ul>\n<p>At AntsRoute, the optimisation engine notably penalises unnecessary waiting times:<br \/>\n<strong>min \u03a3\u1d62 max(0, e\u1d62 \u2212 t\u1d62)<\/strong><\/p>\n<p>where:<\/p>\n<ul id=\"imglist\">\n<li>ei represents the opening of the customer\u2019s time window,<\/li>\n<li>and ti the estimated arrival time.<\/li>\n<\/ul>\n<p>These waiting times are often underestimated in simplified approaches, even though they significantly reduce productivity, route density, and the future ability to absorb unexpected disruptions.<\/p>\n<div id=\"attachment_127797\" style=\"width: 1610px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-127797\" class=\"wp-image-127797\" style=\"border-radius: 5px;\" src=\"https:\/\/antsroute.com\/wp-content\/uploads\/route-optimisation-delivery-insertion-schedule-fragility.webp\" alt=\"Diagram comparing a route before and after the addition of a delivery, showing how a dynamic insertion can trigger delays, reduce time buffers, and weaken the overall stability of the schedule.\" width=\"1600\" height=\"1008\" srcset=\"https:\/\/antsroute.com\/wp-content\/uploads\/route-optimisation-delivery-insertion-schedule-fragility.webp 1800w, https:\/\/antsroute.com\/wp-content\/uploads\/route-optimisation-delivery-insertion-schedule-fragility-300x189.webp 300w, https:\/\/antsroute.com\/wp-content\/uploads\/route-optimisation-delivery-insertion-schedule-fragility-1024x645.webp 1024w, https:\/\/antsroute.com\/wp-content\/uploads\/route-optimisation-delivery-insertion-schedule-fragility-768x484.webp 768w, https:\/\/antsroute.com\/wp-content\/uploads\/route-optimisation-delivery-insertion-schedule-fragility-1536x968.webp 1536w, https:\/\/antsroute.com\/wp-content\/uploads\/route-optimisation-delivery-insertion-schedule-fragility-119x75.webp 119w, https:\/\/antsroute.com\/wp-content\/uploads\/route-optimisation-delivery-insertion-schedule-fragility-700x441.webp 700w\" sizes=\"(max-width:767px) 700px, (max-width:1600px) 100vw, 1600px\" \/><p id=\"caption-attachment-127797\" class=\"wp-caption-text\">Illustration of the constraint propagation effect following the addition of a new delivery within a dynamic route.<\/p><\/div>\n<h2 id=\"a-route-may-be-feasible-yet-extremely-fragile\"><span id=\"A_route_may_be_feasible_yet_extremely_fragile\">A route may be feasible\u2026 yet extremely fragile<\/span><\/h2>\n<p>In many systems, feasibility is treated as a binary condition:<\/p>\n<ul id=\"imglist\">\n<li>an insertion is valid,<\/li>\n<li>or it is not.<\/li>\n<\/ul>\n<p>In real-world operations, however, the situation is far more nuanced. Some insertions remain technically feasible while still producing an extremely fragile route.<br \/>\nFor example, a route may comply with all time windows while leaving virtually no temporal slack at all, remaining technically valid yet becoming incapable of absorbing even the slightest delay.<\/p>\n<p>As Ammar Oulamara points out:<\/p>\n<p class=\"summary-block\">\u201cThe challenge is not only to guarantee the immediate feasibility of an insertion. It is also necessary to preserve the operational robustness of the schedule.\u201d<\/p>\n<p>This notion of robustness becomes central in dynamic systems.<br \/>\nA solution that is slightly less optimised in terms of mileage may therefore be preferable if it preserves greater operational flexibility.<\/p>\n<h2 id=\"operational-constraints-further-amplify-these-ripple-effects\"><span id=\"Operational_constraints_further_amplify_these_ripple_effects\">Operational constraints further amplify these ripple effects<\/span><\/h2>\n<p>The challenges increase significantly when the optimisation engine must integrate complex operational constraints:<\/p>\n<ul id=\"imglist\">\n<li>specific skills,<\/li>\n<li>certifications,<\/li>\n<li>specialised equipment,<\/li>\n<li>working hour limits,<\/li>\n<li>vehicle capacities,<\/li>\n<li>pickup &amp; delivery constraints,<\/li>\n<li>and assignment rules.<\/li>\n<\/ul>\n<p>Some resources then become critical.<br \/>\nA poorly positioned insertion may, for example, prematurely saturate an agent with a rare skill set, prevent future reassignment opportunities, or lock certain reorganisation possibilities altogether.<\/p>\n<p>In <strong>pickup &amp; delivery<\/strong> problems, the optimisation engine must also guarantee precedence constraints:<br \/>\n<strong>t(d\u03c4) \u2212 t(p\u03c4) \u2264 \u0394t\u2098\u2090\u2093<\/strong><\/p>\n<p>In other words, the maximum delay between a pickup and its delivery must remain compatible with the operational constraints of the system.<br \/>\nThese additional dependencies significantly increase the complexity of dynamic insertions.<\/p>\n<div id=\"attachment_127803\" style=\"width: 1610px\" class=\"wp-caption aligncenter\"><img decoding=\"async\" aria-describedby=\"caption-attachment-127803\" class=\"wp-image-127803\" style=\"border-radius: 5px;\" src=\"https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-3.webp\" alt=\"AntsRoute interface displaying the addition of a delivery with automatic availability search, multiple suggested time slots across different days, and a map of optimised routes showing drivers\u2019 itineraries and stops.\" width=\"1600\" height=\"945\" srcset=\"https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-3.webp 1946w, https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-3-300x177.webp 300w, https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-3-1024x605.webp 1024w, https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-3-768x453.webp 768w, https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-3-1536x907.webp 1536w, https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-3-127x75.webp 127w, https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-3-700x413.webp 700w\" sizes=\"(max-width:767px) 700px, (max-width:1600px) 100vw, 1600px\" \/><p id=\"caption-attachment-127803\" class=\"wp-caption-text\">Adding a delivery with availability search in AntsRoute.<\/p><\/div>\n<h2 id=\"why-the-optimisation-engine-must-locally-reorganise-the-schedule\"><span id=\"Why_the_optimisation_engine_must_locally_reorganise_the_schedule\">Why the optimisation engine must locally reorganise the schedule<\/span><\/h2>\n<p>Faced with these multiple interactions, a simple direct insertion logic is no longer sufficient.<br \/>\nA candidate insertion must often be followed by a local reorganisation phase aimed at restoring an acceptable balance within the schedule.<br \/>\nAt AntsRoute, the optimisation engine leverages several local search operators:<\/p>\n<ul id=\"imglist\">\n<li>relocate,<\/li>\n<li>Or-opt,<\/li>\n<li>2-opt,<\/li>\n<li>and cross-exchange.<\/li>\n<\/ul>\n<p>The objective is not merely to make the insertion feasible.<br \/>\nIt is also about:<\/p>\n<ul id=\"imglist\">\n<li>reducing propagation effects,<\/li>\n<li>restoring temporal slack,<\/li>\n<li>improving route compactness,<\/li>\n<li>and preserving the overall stability of the system.<\/li>\n<\/ul>\n<p>As Ammar Oulamara explains:<\/p>\n<p class=\"summary-block\">\u201cAn insertion should never be evaluated in isolation. It is also necessary to measure the local improvement potential it subsequently enables.\u201d<\/p>\n<p>This logic is fundamental in modern optimisation engines.<\/p>\n<h2 id=\"not-all-insertions-deserve-the-same-level-of-exploration\"><span id=\"Not_all_insertions_deserve_the_same_level_of_exploration\">Not all insertions deserve the same level of exploration<\/span><\/h2>\n<p>One of the main challenges for a real-time optimisation engine is <strong>computational cost<\/strong>.<br \/>\nExhaustively exploring every possible reorganisation would be incompatible with the operational constraints of last-mile logistics.<\/p>\n<p>This is why our engine uses a <strong>hierarchy of neighbourhoods<\/strong>.<br \/>\nClearly unfavourable insertions are quickly eliminated through limited local modifications.<br \/>\nMore promising insertions then benefit from deeper exploration:<\/p>\n<ul id=\"imglist\">\n<li>inter-route exchanges,<\/li>\n<li>multi-day reorganisation,<\/li>\n<li>and advanced local optimisation.<\/li>\n<\/ul>\n<p>This structure makes it possible to intelligently concentrate computing power on the solutions that truly matter.<\/p>\n<h2><span id=\"Conclusion\">Conclusion<\/span><\/h2>\n<p>In dynamic routing systems, a geographically optimal insertion can produce highly negative effects on the overall quality of the schedule.<\/p>\n<p>A route is not merely a sequence of journeys. It is a constrained operational structure in which temporal slack, operational dependencies, reorganisation capabilities, and operational robustness are constantly evolving.<\/p>\n<p>Optimising dynamic insertions is therefore not merely about minimising additional mileage.<br \/>\nAbove all, it is about preserving the overall balance of the system after every schedule modification.[\/vc_column_text][\/vc_column_inner][vc_column_inner el_class=&#8221;vc_hidden-xs Extra Small Screen vc_hidden-sm Small Screen&#8221; width=&#8221;2\/12&#8243;][\/vc_column_inner][\/vc_row_inner][vc_row_inner][vc_column_inner width=&#8221;2\/12&#8243;][\/vc_column_inner][vc_column_inner width=&#8221;8\/12&#8243;][vc_separator color=&#8221;custom&#8221; accent_color=&#8221;#00041f&#8221;][vc_column_text css=&#8221;&#8221;]\n<p class=\"text-head\" style=\"color: #424762;\">WRITTEN BY<\/p>\n<p><img decoding=\"async\" class=\"alignnone size-medium wp-image-85398\" style=\"border-radius: 100%;\" src=\"https:\/\/antsroute.com\/wp-content\/uploads\/marie-henrion-antsroute-300x300.jpg\" alt=\"\" width=\"70\" height=\"70\" srcset=\"https:\/\/antsroute.com\/wp-content\/uploads\/marie-henrion-antsroute-300x300.jpg 300w, https:\/\/antsroute.com\/wp-content\/uploads\/marie-henrion-antsroute-150x150.jpg 150w, https:\/\/antsroute.com\/wp-content\/uploads\/marie-henrion-antsroute-146x146.jpg 146w, https:\/\/antsroute.com\/wp-content\/uploads\/marie-henrion-antsroute-50x50.jpg 50w, https:\/\/antsroute.com\/wp-content\/uploads\/marie-henrion-antsroute-75x75.jpg 75w, https:\/\/antsroute.com\/wp-content\/uploads\/marie-henrion-antsroute-85x85.jpg 85w, https:\/\/antsroute.com\/wp-content\/uploads\/marie-henrion-antsroute-80x80.jpg 80w, https:\/\/antsroute.com\/wp-content\/uploads\/marie-henrion-antsroute.jpg 416w\" sizes=\"(max-width:767px) 70px, 70px\" \/><\/p>\n<p class=\"text-head\"><span style=\"font-size: 25px;\"><strong><a style=\"text-decoration: none;\" href=\"https:\/\/antsroute.com\/en\/blog\/author\/marie-henrion\/\">Marie Henrion<\/a><\/strong><\/span><br \/>\nAt AntsRoute, Marie has been the marketing manager since 2018. With a focus on last-mile logistics, she produces content that simplifies complex topics such as route optimization, the ecological transition, and customer satisfaction.<\/p>\n<div id=\"cta\"><a class=\"button-3\" href=\"https:\/\/www.linkedin.com\/in\/mariehenrion54\/\" target=\"_blank\" rel=\"noopener\">in<\/a><\/div>\n[\/vc_column_text][\/vc_column_inner][vc_column_inner width=&#8221;2\/12&#8243;][\/vc_column_inner][\/vc_row_inner][\/vc_column][vc_column width=&#8221;1\/12&#8243; el_class=&#8221;vc_hidden-xs Extra Small Screen vc_hidden-sm Small Screen&#8221;][\/vc_column][\/vc_row][vc_row el_class=&#8221;padding-block&#8221; css=&#8221;.vc_custom_1705329750413{background-color: #00041f !important;}&#8221;][vc_column][vc_column_text css=&#8221;&#8221;]\n<p class=\"h2-footer\" style=\"text-align: center; color: #ffffff;\">Optimise your Routes with AntsRoute.<\/p>\n<p class=\"text-head\" style=\"text-align: center; color: #bfc0c6;\">Free 7-day trial | No credit card required<\/p>\n[\/vc_column_text][vc_row_inner][vc_column_inner][vc_column_text]\n<div id=\"cta\" style=\"text-align: center;\"><a class=\"btn-grad\" style=\"align-self: center;\" href=\"https:\/\/app.antsroute.com\/subscription\/creation\" target=\"_blank\" rel=\"noopener\"><strong>Get started<\/strong> \u2013 It&#8217;s free<\/a> <a class=\"button-2-white\" style=\"align-self: center;\" href=\"https:\/\/calendly.com\/lea-brice-antsroute\/demonstration\" target=\"_blank\" rel=\"noopener\">Book a demo<\/a><\/div>\n[\/vc_column_text][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row]\n<\/div><div id=\"toc_container\" class=\"toc_wrap_right no_bullets\"><p class=\"toc_title\">Contenu<\/p><ul class=\"toc_list\"><li><a href=\"#The_insertion_problem_is_far_broader_than_it_may_initially_appear\">The insertion problem is far broader than it may initially appear<\/a><\/li><li><a href=\"#Why_marginal_cost_is_not_enough\">Why marginal cost is not enough<\/a><\/li><li><a href=\"#Time_windows_create_strong_interdependencies\">Time windows create strong interdependencies<\/a><\/li><li><a href=\"#A_route_may_be_feasible_yet_extremely_fragile\">A route may be feasible\u2026 yet extremely fragile<\/a><\/li><li><a href=\"#Operational_constraints_further_amplify_these_ripple_effects\">Operational constraints further amplify these ripple effects<\/a><\/li><li><a href=\"#Why_the_optimisation_engine_must_locally_reorganise_the_schedule\">Why the optimisation engine must locally reorganise the schedule<\/a><\/li><li><a href=\"#Not_all_insertions_deserve_the_same_level_of_exploration\">Not all insertions deserve the same level of exploration<\/a><\/li><li><a href=\"#Conclusion\">Conclusion<\/a><\/li><\/ul><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Discover why adding a single delivery can disrupt an entire route: constraint propagation, time windows, schedule robustness, and dynamic optimisation.<\/p>\n","protected":false},"author":9,"featured_media":127791,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[22963,22934,6282],"tags":[],"class_list":["post-127782","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-blog","category-route-optimisation","category-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.0 - 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Logiciel d&#039;optimisation de tourn\u00e9es | Planifier &amp; Suivre | Route Optimization Software | Plan &amp; Track","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/antsroute.com\/en\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/antsroute.com\/en\/solutions\/dynamic-route-insertion\/#primaryimage","url":"https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-2.webp","contentUrl":"https:\/\/antsroute.com\/wp-content\/uploads\/dynamic-route-insertion-2.webp","width":850,"height":535},{"@type":"WebPage","@id":"https:\/\/antsroute.com\/en\/solutions\/dynamic-route-insertion\/#webpage","url":"https:\/\/antsroute.com\/en\/solutions\/dynamic-route-insertion\/","name":"Dynamic route insertion: why a single delivery can disrupt an entire route","isPartOf":{"@id":"https:\/\/antsroute.com\/en\/#website"},"primaryImageOfPage":{"@id":"https:\/\/antsroute.com\/en\/solutions\/dynamic-route-insertion\/#primaryimage"},"datePublished":"2026-05-26T13:47:28+00:00","dateModified":"2026-05-26T14:02:35+00:00","author":{"@id":"https:\/\/antsroute.com\/en\/#\/schema\/person\/38db92fb0f886fb05dd3dd4453c4d202"},"description":"Discover why adding a single delivery can disrupt an entire route: constraint propagation, time windows, schedule robustness, and dynamic optimisation.","breadcrumb":{"@id":"https:\/\/antsroute.com\/en\/solutions\/dynamic-route-insertion\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/antsroute.com\/en\/solutions\/dynamic-route-insertion\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/antsroute.com\/en\/solutions\/dynamic-route-insertion\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"AntsRoute","item":"https:\/\/antsroute.com\/en\/"},{"@type":"ListItem","position":2,"name":"Why adding a single delivery can disrupt an entire route"}]},{"@type":"Person","@id":"https:\/\/antsroute.com\/en\/#\/schema\/person\/38db92fb0f886fb05dd3dd4453c4d202","name":"Marie Henrion","description":"Chez AntsRoute, Marie est responsable marketing depuis 2018. 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