## Berth Allocation Problem with Rectangle Packing

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Berth Allocation Problem (BAP) The berth allocation problem assigns arriving ships to a section of the berth (where, when & how long) during enough time for the loading and unloading…

## Introduction to Port Logistics and Scheduling Problems

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As ship sizes continue raise, ports struggle maintaining and hopefully increasing port operations productivity. The large number of berths, cranes, warehouses and labors they need to handle make the operations…

## The Unit Commitment Problem (UCP) for Electricity Generation

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The Unit Commitment Problem (UCP) The Unit Commitment problem (UCP) consists in deciding which power generators to run, in which periods and at what level in order to satisfy the…

## Facility location in Supply Chain Network Design

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Facility location problem may be the most critical and most difficult in Supply Chain Network Design because the facilities are often fixed and difficult to relocate in the short term.…

## Simple Assembly Line Balancing Problem (SALBP): MIP & CP Models Benchmarking

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Line Balancing Problem In a previous post we introduced various models for the mixed-model sequencing problem (MMSP), which consists in sequencing models to be produced in an assembly line that…

## Mixed-Model Assembly Line Problem

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Assembly lines are manufacturing facilities where the work stations are fixed and the products being assembled move from station to station. The assembly line balancing problem (ALBP) consists in defining…

## Spanning Tree & Flow based Formulations for the Asymmetric Traveling Salesman Problem (TSP)

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More MIP models for the asymmetric TSP In a previous blog post Traveling Salesman Problem (TSP) with Miller-Tucker-Zemlin (MTZ) in CPLEX/OPL we presented the MTZ model for the asymmetric TSP…

## Traveling Salesman Problem (TSP) with Miller-Tucker-Zemlin (MTZ) in CPLEX/OPL

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Have you ever wondered how garbage collectors visit thousands of homes all over a city in a single day? Or how Pos Malaysia delivers packages so efficiently? Ahmad is working…

## Optimisation Engines Make The Industry Efficient: The History

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Back to 1997 Heuristics were the safe bet Heuristics are the main tool used to solve optimisation problems in the industry. Initially, heuristic localsearch algorithms were often used. Airline crew…