On the computational complexity of uncapacitated multi-plant lot-sizing problems

03/09/2020
by   J. O. Cunha, et al.
0

Production and inventory planning have become crucial and challenging in nowadays competitive industrial and commercial sectors, especially when multiple plants or warehouses are involved. In this context, this paper addresses the complexity of uncapacitated multi-plant lot-sizing problems. We consider a multi-item uncapacitated multi-plant lot-sizing problem with fixed transfer costs and show that two of its very restricted special cases are already NP-hard. Namely, we show that the single-item uncapacitated multi-plant lot-sizing problem with a single period and the multi-item uncapacitated two-plant lot-sizing problem with fixed transfer costs are NP-hard. Furthermore, as a direct implication of the proven results, we also show that a two-echelon multi-item lot-sizing with joint setup costs on transportation is NP-hard.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
12/07/2020

Computing Fair Utilitarian Allocations of Indivisible Goods

We study the computational complexity of computing allocations that are ...
research
07/04/2019

A global constraint for the capacitated single-item lot-sizing problem

The goal of this paper is to set a constraint programming framework to s...
research
12/04/2020

Computational Complexity of Three Central Problems in Itemset Mining

Itemset mining is one of the most studied tasks in knowledge discovery. ...
research
05/16/2022

A Two-Phase Method for Production Planning and Machine Speed Optimization Problem

Textile industry is becoming a highly competitive area with the increase...
research
10/17/2020

Mad Science is Provably Hard: Puzzles in Hearthstone's Boomsday Lab are NP-hard

We consider the computational complexity of winning this turn (mate-in-1...
research
08/01/2023

The complexity of the Timetable-Based Railway Network Design Problem

Because of the long planning periods and their long life cycle, railway ...
research
08/27/2017

Capital flow constrained lot sizing problem with loss of goodwill and loan

We introduce capital flow constraints, loss of good will and loan to the...

Please sign up or login with your details

Forgot password? Click here to reset