Performance Experiment - Pyomo vs JuMP

This repository tries to make a fair comparison between the performance of Pyomo and JuMP. Performance is measured in model generation time and model generation plus solve time.

• Python 3.11.3
• Pyomo 6.6.0
• Julia 1.9.0
• JuMP 1.11.1

Example IJKLM

Model

$$\text{min} \ z = 1$$

$$\sum_{(j,k):(i,j,k) \in \mathcal{IJK}} \ \sum_{l:(j,k,l) \in \mathcal{JKL}} \ \sum_{m:(k,l,m) \in \mathcal{KLM}} x_{i,j,k,l,m} \ge 0 \hspace{1cm} \forall \ i \in \mathcal{I}$$

$$x_{i,j,k,l,m} \ge 0 \hspace{1cm} \forall \ (i,j,k) \in \mathcal{IJK}, l:(j,k,l) \in \mathcal{JKL}, m:(k,l,m) \in \mathcal{KLM} $$

Model Generation Performance

Model Generation + Solve Performance

Example Supply Chain

Model

$$\min F = 1$$

$$\sum_{j:(i,j,k) \in \mathcal{IJK}} x_{ijk} \ge \sum_{l:(i,k,l) \in \mathcal{IKL}} y_{ikl} \hspace{1cm} \forall \ (i,k) \in \mathcal{IK} $$

$$\sum_{k:(i,k,l) \in \mathcal{IKL}} y_{ikl} \ge \sum_{m:(i,l,m) \in \mathcal{ILM}} z_{ilm} \hspace{1cm} \forall \ (i,l) \in \mathcal{IL} $$

$$\sum_{l:(i,l,m) \in \mathcal{ILM}} z_{ilm} \ge d_{im} \hspace{1cm} \forall \ (i,m) \in \mathcal{IM}$$

Sets
$i \in \mathcal{I}$	products
$j \in \mathcal{J}$	production units
$k \in \mathcal{K}$	production plants
$l \in \mathcal{L}$	distribution centers
$m \in \mathcal{M}$	customers
$\mathcal{IK}$	set of plants $k$ able to produce product $i$
$\mathcal{IL}$	set of products $i$ that can be stored in distribution center $l$
$\mathcal{IM}$	set of products $i$ that are ordered by customer $m$
$\mathcal{IJK}$	set of products $i$ that can be processed by production unit $j$ available at plant $k$
$\mathcal{IKL}$	set of products $i$ that can be manufactured at plant $k$ and stored in distribution center $l$
$\mathcal{ILM}$	set of products $i$ stored in distribution center $l$ and able to be supplied to customer $m$

Parameters
$d_{im}$	demand for product $i$ related to customer $m$

Variables
$x_{ijk}$	production quantity of product $i$ on production unit $j$ and plant $k$
$y_{ikl}$	shipping quantity of product $i$ from plant $k$ to distribution center $l$
$z_{ilm}$	delivery quantity of product $i$ from distribution center $l$ to customer $m$

Model Generation Performance

Model Generation + Solve Performance