The impetus for this research was examining a flow shop problem in which tasks were expected to be successively carried out with no time interval (i.e., no wait time) between them. For this reason, they should be completed by specific dates or deadlines. In this regard, the efficiency of the models was evaluated based on makespan. To solve the NP-Hard problem, we developed two mathematical mode...

For a nonsmooth multiobjective mathematical programming problem governed by infinitely many constraints‎, ‎we define a new gap function that generalizes the definitions of this concept in other articles‎. ‎Then‎, ‎we characterize the efficient‎, ‎weakly efficient‎, ‎and properly efficient solutions of the problem utilizing this new gap function‎. ‎Our results are based on $(Phi,rho)-$invexity‎,...

temperature profile determination in soils under adverse conditions of variable heat capacity and conductivity is a rather hard task. the heat capacity and conductivity are moisture dependent and both vary with the soil density. moisture movement on the other hand is temperature dependent and so the two interact. no single mathematical formulae as yet exists for anticipating the temperature dis...

yard crane is an important resource in container terminals. efficient utilization of the yard crane significantly improves the productivity and the profitability of the container terminal. this paper presents a mixed integer programming model for the yard crane scheduling problem with non- interference constraint that is nphard in nature. in other words, one of the most important constraints in...

Mathematical modeling of supply chain operations has proven to be one of the most complex tasks in the field of operations management and operations research. Despite the abundance of several modeling proposals in the literature; for vast majority of them, no effective universal application is conceived. This issue renders the proposed mathematical models inapplicable due largely to the fact th...

this paper proposes a new mathematical model for the integrated procurement-production-distribution problem of a fuzzy mixed integer linear programming (fmilp) type. considering the uncertainty in real problems, a number of parameters such as demand, capacity, and cost where their values are not available or known precisely, have been considered as trapezoidal fuzzy numbers. to solve fuzzy mixe...

pinch analysis (pa) is used as a powerful tool for targeting and synthesis of heat and mass exchange networks. pa for solving includes extended and complex operation although having a simple concept. according to this matter, need for creating a pa software is clear hence famous an american and european cooperation introduce extensive and powerful software by applying advanced programming langu...