Reproduction code for "From the shop floor to the household: a hierarchical Bayesian quality scheduling index for adaptive planning of recurrent robot tasks under uncertainty"

Description

Python code that exactly reproduces every quantitative result, table and figure in the associated manuscript, submitted to the International Journal of Production Research (special issue "Innovations in Production Planning: Emerging Problems and Modern Solution Paradigms"). The manuscript extends the Quality Scheduling Index (QSI), a managerial tool from production scheduling, into a Bayesian Quality Scheduling Index (BQSI) for planning recurrent tasks of a household service robot under uncertainty. The code has four parts. Part 1: household-level net present value Monte Carlo of robot acquisition across three price tiers (Table 1). Part 2: value of Bayesian learning, comparing a Thompson-sampling BQSI scheduler against a static allocator over 90 days (Section 3.3). Part 3: sensitivity analysis — Spearman rank correlations, prior-perturbation scenarios and a one-at-a-time tornado analysis (Table 3, Figure 1). Part 4, new in version 2: hierarchical empirical-Bayes fleet-level prior, forgetting factor for drifting task environments, and the trial period valued as expected value of sample information (Table 2, Figure 2). Two identical implementations are provided: bqsi_sim.py (plain Python script) and bqsi_sim.ipynb (Jupyter/Google Colab notebook). All random draws use fixed seeds, so outputs are deterministic. No empirical data are used or included; all results are simulation outputs under the priors documented in the manuscript. Requirements: Python 3 with NumPy; matplotlib only for the two optional figure blocks.

Steps to reproduce

Colab: File → Upload notebook → bqsi_sim.ipynb → Runtime → Run all. Local: python bqsi_sim.py. Runtime is a few minutes (part 4 runs 20,000 replications of several 90-day bandit experiments). Console headers map each block to its manuscript section; the optional final blocks write Figure_1.png and Figure_2.png.

Institutions

• Titu Maiorescu University

  București, Bucharest

Categories

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