The effect of economies-of-scale on the performance of lot-sizing heuristics in rolling horizon basis

Abstract

In this article, we consider the production planning problem in the presence of (dis)economies-of-scale in production costs on a rolling horizon basis with a fixed forecast horizon. We propose variants of three well-known and commonly used heuristics (Wagner–Whitin, Silver–Meal and Least Unit Cost) adapted for this particular setting. In an extensive numerical study with demands exhibiting stationary, increasing and decreasing trends and seasonality, we demonstrate that having longer forecast horizon is less effective in obtaining more cost effective production plans when the production cost function is convex and also when fixed setup cost is lower, which both are proxy to lack of economies-of-scale.

Keywords:

• lot-sizing
• production planning
• heuristics
• rolling horizon
• economies-of-scale

Disclosure statement

No potential conflict of interest was reported by the author(s).

ORCID

Ramez Kian http://orcid.org/0000-0001-8786-6349

Emre Berk http://orcid.org/0000-0001-9674-5194

Ülkü Gürler http://orcid.org/0000-0002-7273-3743

Baback Yazdani http://orcid.org/0000-0001-9484-8552

Additional information

Funding

This work was supported by Iran's National Elites Foundation, I.R. IRAN and The Scientific and Technological Research Council of Turkey (TUBITAK Grant ID:110M307).