This work further elaborates on the steel plant MILP production scheduling method presented in Harjunkoski and Grossmann (2001). The proposed improvements include a more flexible model for the casting step, as well as combining orders from consecutive weeks to improve one of the main targets, which is increasing the number of heats per casting sequence. The paper presents a strategy to obtain o...

A new model has been developed for multicommodity transportation and supply chain problems including stepwise constant costs. The model is expressed as an MILP problem. The modelling equations are presented here. The new model has been tested on multicommodity problem of SABMiller Europe, and compared to other methods from the literature. A feasibility checking method has been developed for lar...

In this paper, we consider a flow shop scheduling problem with availability constraints (FSSPAC) for the objective of minimizing the makespan. In such a problem, machines are not continuously available for processing jobs due to preventive maintenance activities. We proposed a mixed-integer linear programming (MILP) model for this problem which can generate non-permutation schedules. Furthermor...

In this paper, a hybrid multi-criteria decision-making (MCDM)-method and mixed integer linear programming (MILP) approach in order to evaluation of the returned products' collectors along with their ordered quantities, is utilized. Firstly, the most important criteria of collection center in the car industry are identified. Then, in order to evaluate these proposed criteria, a hybrid Fuzzy Deci...

This study considers outsourcing decisions in a flexible flow shop scheduling problem, in which each job can be processed by either an in-house production line or outsourced. The selected objective function aims to minimize the weighted sum of tardiness costs, in-house production costs, and outsourcing costs with respect to the jobs due date. The purpose of the problem is to select the jobs tha...

An MILP model for the optimal scheduling of a lube oil and paraffin production plant is presented. The plant is composed of processing units that operate in continuous and discontinuous modes, and some are also duplicated. The raw materials for the process are stored in dedicated tanks, and the plant presents finite intermediate storage. The mathematical formulation was developed under a contin...

This work concerns the maximum capture problem with random utilities, i.e., the problem of seeking to locate new facilities in a competitive market such that the captured demand of users is maximized, assuming that each individual chooses among all available facilities according to a random utility maximization model. The challenge when solving this problem is the nonlinearity of the objective ...

In IACR ePrint 2014/747, a method for constructing mixedinteger linear programming (MILP) models whose feasible regions are exactly the sets of all possible differential (or linear) characteristics for a wide range of block ciphers is presented. These models can be used to search for or enumerate differential and linear characteristics of a block cipher automatically. However, for the case of S...