Table 1 Notation.

From: Application of the adaptive sparrow search algorithm in medical supply engineering

Symbol

Description

Symbol

Description

\(\:{x}_{t}\)

Demand for robots in week \(\:t\)

\(\:{c}_{v}\)

Unit price of containers under routine procurement

\(\:{v}_{t}\)

Number of containers procured through routine procurement

\(\:{c}_{h}\)

Unit price of manipulators under routine procurement

\(\:{h}_{t}\)

Number of manipulators procured through routine procurement

\(\:{c}_{v}^{\text{high\:}}\)

Unit price of high-cost, ready-to-use containers

\(\:{v}_{t}^{\text{high\:}}\)

Number of high-cost, ready-to-use containers

\(\:{c}_{h}^{\text{high\:}}\)

Unit price of high-cost, ready-to-use manipulators

\(\:{h}_{t}^{\text{high\:}}\)

Number of high-cost, ready-to-use manipulators

\(\:{m}_{v}\)

Weekly maintenance cost per container

\(\:{V}_{t}\)

End-of-week available container inventory

\(\:{m}_{h}\)

Weekly maintenance cost per manipulator

\(\:{H}_{t}\)

End-of-week available manipulator inventory

\(\:{t}_{h}\)

Training cost per manipulator

\(\:{V}_{0}\)

Initial container inventory (13)

\(\:\mu\:\)

Number of manipulators required per robot (4)

\(\:{H}_{0}\)

Initial manipulator inventory (50)

\(\:\gamma\:\)

Number of new manipulators a skilled manipulator can train per week (10)

\(\:{{\uptau\:}}_{\text{v}}\)

Preparation lead time for new containers (1 week)

\(\:{\tau\:}_{h}\)

Training lead time for new manipulators (1 week)

\(\:{p}_{t}\)

Scrap rate of robots due to macrophage encounters in week t

\(\:\rho\:\)

Scrap rate per robot encountering a macrophage